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Finding the Fourth Proportional to 565.99, 849.18 and 411.65

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Solution

The fourth proportional to 565.99, 849.18 and 411.65 is: 617.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.99 : 849.18 = 411.65 : x
  2. Step 2: Convert to fraction form
    565.99/849.18 = 411.65/x
  3. Step 3: Cross multiply
    565.99x = 849.18 × 411.65
  4. Step 4: Simplify right side
    565.99x = 349,564.95
  5. Step 5: Solve for x
    x = 349,564.95/565.99
  6. Step 6: Final answer
    x = 617.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.